IMC TradingTraderGraduate Quant TraderQuestion #54

There are some fish in a bucket. Three fishermen come to the bucket one after another. The first tries to divide the fish into groups of three but finds one fish left over, so he takes this one and a third of the remaining fish. The next fisherman tries to divide the rest into three, again finds one left over, and takes that one and a third of the remainder. The third fisherman does the same. What is the minimum number of fish that could have been in the bucket initially?

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